Results 11 to 20 of about 213 (54)
On depth zero L‐packets for classical groups
Proceedings of the London Mathematical Society, Volume 121, Issue 5, Page 1083-1120, November 2020., 2020 Abstract By computing reducibility points of parabolically induced representations, we construct, to within at most two unramified quadratic characters, the Langlands parameter of an arbitrary depth zero irreducible cuspidal representation π of a classical group (which may be not‐quasi‐split) over a non‐archimedean local field of odd residual ...
Jaime Lust, Shaun Stevens
wiley +1 more source
2‐adic slopes of Hilbert modular forms over Q(5)
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 716-729, August 2020., 2020 Abstract We show that for arithmetic weights with a fixed finite‐order character, the slopes of Up for p=2 (which is inert) acting on overconvergent Hilbert modular forms of level U0(4) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.
Christopher Birkbeck
wiley +1 more source
UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES
Forum of Mathematics, Sigma, 2017 Let $p$ be a prime number and $F$ a totally real number ...
MATTHEW EMERTON +2 more
doaj +1 more source
Mock theta functions and weakly holomorphic modular forms modulo 2 and 3 [PDF]
, 2013 We prove that the coefficients of certain mock theta functions possess no linear congruences modulo 3. We prove similar results for the moduli 2 and 3 for a wide class of weakly holomorphic modular forms and discuss applications.
Ahlgren, Scott, Kim, Byungchan
core +1 more source
Gauss-Manin connections for p-adic families of nearly overconvergent modular forms [PDF]
, 2014 We interpolate the Gauss-Manin connection in p-adic families of nearly overconvergent modular forms. This gives a family of Maass-Shimura type differential operators from the space of nearly overconvergent modular forms of type r to the space of nearly ...
Harron, Robert, Xiao, Liang
core +2 more sources
On the gaps between non-zero Fourier coefficients of cusp forms of higher weight [PDF]
, 2016 We show that if a modular cuspidal eigenform $f$ of weight $2k$ is $2$-adically close to an elliptic curve $E/\mathbb{Q}$, which has a cyclic rational $4$-isogeny, then $n$-th Fourier coefficient of $f$ is non-zero in the short interval $(X, X + cX ...
Kumar, Narasimha
core +2 more sources
Congruences Among Power Series Coefficients of Modular Forms [PDF]
, 2013 Many authors have investigated the congruence relations amongst the coefficients of power series expansions of modular forms $f$ in modular functions $t$. In a recent paper, R. Osburn and B. Sahu examine several power series expansions and prove that the
Moy, Richard
core +1 more source
Congruences for traces of singular moduli
, 2004 We extend a result of Ahlgren and Ono on congruences for traces of singular moduli of level 1 to traces defined in terms of Hauptmodul associated to certain groups of genus 0 of higher levels.Comment: 8 pages, to appear in The Ramanujan ...
Osburn, Robert
core +1 more source
"Divergent" Ramanujan-type supercongruences
, 2010 "Divergent" Ramanujan-type series for $1/\pi$ and $1/\pi^2$ provide us with new nice examples of supercongruences of the same kind as those related to the convergent cases.
Guillera, Jesús, Zudilin, Wadim
core +2 more sources
On the modularity of reducible mod l Galois representations [PDF]
, 2016 We prove that every odd semisimple reducible (2-dimensional) mod l Galois representation arises from a cuspidal eigenform. In addition, we investigate the possible different types (level, weight, character) of such a modular form. When the representation
Billerey, Nicolas, Menares, Ricardo
core +1 more source